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pro vyhledávání: '"Benjamin Passer"'
Autor:
Benjamin Passer
Evert and Helton proved that real free spectrahedra are the matrix convex hulls of their absolute extreme points. However, this result does not extend to complex free spectrahedra, and we examine multiple ways in which the analogous result can fail.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ec5a4675d28aec64e1437e6674ca6939
Autor:
Alexandru Chirvasitu, Benjamin Passer
Publikováno v:
Journal of Functional Analysis. 277:2664-2696
When a compact quantum group $H$ coacts freely on unital $C^*$-algebras $A$ and $B$, the existence of equivariant maps $A \to B$ may often be ruled out due to the incompatibility of some invariant. We examine the limitations of using invariants, both
Publikováno v:
Indiana University Mathematics Journal. 68:1199-1215
A Herglotz function is a holomorphic map from the open complex unit disk into the closed complex right halfplane. A classical Herglotz function has an integral representation against a positive measure on the unit circle. We prove a free analytic ana
Autor:
Kenneth R. Davidson, Benjamin Passer
We use Arveson's notion of strongly peaking representation to generalize uniqueness theorems for free spectrahedra and matrix convex sets which admit minimal presentations. A fully compressed separable operator system necessarily generates the C*-env
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::082be70df0aab4f689c2fa912d75c37b
http://arxiv.org/abs/2005.11582
http://arxiv.org/abs/2005.11582
Autor:
Benjamin Passer, Alexandru Chirvasitu
Publikováno v:
Proceedings of the American Mathematical Society
We consider the Type 1 and Type 2 noncommutative Borsuk-Ulam conjectures of Baum, D$\k{a}$browski, and Hajac: there are no equivariant morphisms $A \to A \circledast_\delta H$ or $H \to A \circledast_\delta H$, respectively, when $H$ is a nontrivial
Autor:
Benjamin Passer
Publikováno v:
Indiana University Mathematics Journal. 67:187-203
We present a proof for certain cases of the noncommutative Borsuk-Ulam conjectures proposed by Baum, D\k{a}browski, and Hajac. When a unital $C^*$-algebra $A$ admits a free action of $\mathbb{Z}/k\mathbb{Z}$, $k \geq 2$, there is no equivariant map f
We explore the recently introduced local-triviality dimensions by studying gauge actions on graph $C^*$-algebras, as well as the restrictions of the gauge action to finite cyclic subgroups. For $C^*$-algebras of finite acyclic graphs and finite cycle
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::94e25ff81a6e072ce0f0ca7a746157e8
Autor:
Matthias Benjamin Passer
Publikováno v:
Lingua. 174:16-44
In this paper, I investigate the phenomenon of ‘verb classifiers’, i.e. nominal classifiers that attach to the verb and that classify one of its arguments. A sample of thirteen supposed ‘verb classifier’ languages is presented and analysed in
Autor:
Benjamin Passer
Publikováno v:
Journal of Operator Theory. 75:337-366
Natsume-Olsen noncommutative spheres are C*-algebras which generalize C(S^k) when k is odd. These algebras admit natural actions by finite cyclic groups, and if one of these actions is fixed, any equivariant homomorphism between two Natsume-Olsen sph
Autor:
Benjamin Passer
We study containment and uniqueness problems concerning matrix convex sets. First, to what extent is a matrix convex set determined by its first level? Our results in this direction quantify the disparity between two product operations, namely the pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59a2756d1e9eb52cb92088eb79cfd8dc
http://arxiv.org/abs/1803.09212
http://arxiv.org/abs/1803.09212